Classical Mechanics

Two Simple Harmonic Oscillators

When two oscillators have the same frequency, they would be resonant to each other.''

A problem about two simple harmonic oscillators.

The point that hangs the pendulum is a simple harmonic oscillator moving horizontally.

The pendulum itself is a simple harmonic oscillator.

It is not hard to think that the pendulum would appear to pivot when the natural frequency of the pendulum is equaled to the frequency of the point in the simple harmonic oscillation horizontally,

because the projection of a simple harmonic oscillator is Bsin(omega t).

4. The support of a simple pendulum of natural frequency 030 is moved horizontally with the simple harmonic motion Asinwt where u) (00. With small amplitudes, calculate the steady-state motion of the pendulum bob. Show that the pendulum appears to pivot about a point for which the natural frequency would equal (.0